Question

A solid sphere has a volume of 48π. find the radius of the sphere.

Answer 1

To find the radius of the sphere, we can use the formula for the volume of a sphere: volume = (4/3)πr³. In this case, the volume is given as 48π. So we can set up the equation as 48π = (4/3)πr³.Finally, we can take the cube root of both sides to find the radius: r = ∛36

Step-by-step explanation:

To find the radius of the sphere, we can use the formula for the volume of a sphere: volume = (4/3)πr³. In this case, the volume is given as 48π. So we can set up the equation as 48π = (4/3)πr³.

Next, we can simplify the equation by canceling out the π from both sides:

48 = (4/3)r³

To solve for r, we can divide both sides by (4/3):

r³ = (48 / (4/3))

r³ = 36

Finally, we can take the cube root of both sides to find the radius:

r = ∛36